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Finding the Third Proportional to 181,344 and 394,950

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Solution

The third proportional to 181,344 and 394,950 is: 860,163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,344 : 394,950 = 394,950 : x
  2. Step 2: Convert to fraction form
    181,344/394,950 = 394,950/x
  3. Step 3: Cross multiply
    181,344x = 394,950 × 394,950
  4. Step 4: Simplify right side
    181,344x = 155,985,502,500
  5. Step 5: Solve for x
    x = 155,985,502,500/181,344
  6. Step 6: Final answer
    x = 860,163.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.